GCD of 455, 448, 30, 807 Calculator

Given Input numbers are 455, 448, 30, 807

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 455, 448, 30, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 448, 30, 807 is 1.

Therefore, GCD of numbers 455, 448, 30, 807 is 1

Given Input Data is 455, 448, 30, 807

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 807 is 3 x 269

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(455, 448) = 29120

GCD(455, 448) = ( 455 x 448 ) / 29120

GCD(455, 448) = 203840 / 29120

GCD(455, 448) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 30

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 30) = 210

GCD(7, 30) = ( 7 x 30 ) / 210

GCD(7, 30) = 210 / 210

GCD(7, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 455, 448, 30, 807 is 1

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• GCD of 857, 652, 17, 183
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• GCD of 526, 556, 57, 139

1. What is the GCD of 455, 448, 30, 807?

GCD of 455, 448, 30, 807 is 1

2. Where do I get the detailed procedure to find GCD of 455, 448, 30, 807?

You can find a detailed procedure to find GCD of 455, 448, 30, 807 on our page.

3. How to find GCD of 455, 448, 30, 807 on a calculator?

You can find the GCD of 455, 448, 30, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.